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Finding the Fourth Proportional to 22,525.75, 31,085.55 and 12,589.75

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Solution

The fourth proportional to 22,525.75, 31,085.55 and 12,589.75 is: 17,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,525.75 : 31,085.55 = 12,589.75 : x
  2. Step 2: Convert to fraction form
    22,525.75/31,085.55 = 12,589.75/x
  3. Step 3: Cross multiply
    22,525.75x = 31,085.55 × 12,589.75
  4. Step 4: Simplify right side
    22,525.75x = 391,359,303.11
  5. Step 5: Solve for x
    x = 391,359,303.11/22,525.75
  6. Step 6: Final answer
    x = 17,373.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.